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Extensions of Numerical Methods for Strongly Correlated Electron Systems

Mikelsons, Karlis
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1256909270

Abstract Details

2009, PhD, University of Cincinnati, Arts and Sciences : Physics.
This work presents extensions of the numerical methods for strongly correlated electron systems. The first part of the thesis discusses extensions and applications of the quantum cluster theories to the systems of classical spins. It is shown that such extensions can provide faster convergence through better estimation of the effects of fluctuations, yet they can also possess shortcomings which limit their application in the studies of the phase transitions. The second part of the thesis is dedicated to the numerical studies of the Hubbard model. Present Quantum Monte Carlo methods are reviewed and relationships among them are elucidated. The final part of the thesis contains the application of the developed numerical methods to investigate the phase diagram of the two-dimensional Hubbard model, especially the evidence of the Quantum Critical Point (QCP) at a finite doping. High accuracy results for thermodynamic quantities are presented in support of the existence of the QCP at a finite doping in two-dimensional Hubbard model. The relation of the QCP to the charge fluctuations is revealed and a mechanism that relates QCP to incipient phase separation is proposed.
Michael Ma, PhD (Committee Chair)
Leigh Smith, PhD (Committee Member)
L.C.R. Wijewardhana, PhD (Committee Member)
Mark Jarrell, PhD (Committee Member)
141 p.
Condensation
quantum Monte Carlo; Hubbard model; quantum critical point

Recommended Citations

Citations

  • Mikelsons, K. (2009). Extensions of Numerical Methods for Strongly Correlated Electron Systems [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1256909270

    APA Style (7th edition)

  • Mikelsons, Karlis. Extensions of Numerical Methods for Strongly Correlated Electron Systems. 2009. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1256909270.

    MLA Style (8th edition)

  • Mikelsons, Karlis. "Extensions of Numerical Methods for Strongly Correlated Electron Systems." Doctoral dissertation, University of Cincinnati, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1256909270

    Chicago Manual of Style (17th edition)

ucin1256909270
782
© 2009, some rights reserved.Creative Commons License Extensions of Numerical Methods for Strongly Correlated Electron Systems by Karlis Mikelsons is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by University of Cincinnati and OhioLINK.